1. Operators of Hankel type
- Creator:
- Bermudo , S., Marcantognini, S. A. M., and Morán, M. D.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- Hankel operators and Hankel symbols
- Language:
- English
- Description:
- Hankel operators and their symbols, as generalized by V. Pták and P. Vrbová, are considered. The present note provides a parametric labeling of all the Hankel symbols of a given Hankel operator $X$ by means of Schur class functions. The result includes uniqueness criteria and a Schur like formula. As a by-product, a new proof of the existence of Hankel symbols is obtained. The proof is established by associating to the data of the problem a suitable isometry $V$ so that there is a bijective correspondence between the symbols of $X$ and the minimal unitary extensions of $V$.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public